First principles study of rare-earth oxides

Details First principles study of rare-earth oxides First principles study of rare-earth oxides

2005-03-29

arxiv.org/abs/cond-mat/0503667v1

Physics

Condensed Matter

Strongly Correlated Electrons

22 pages, 4 tables, 7 figures

Scientific paper

10.1103/PhysRevB.72.205118

The self-interaction-corrected local-spin-density approximation is used to describe the electronic structure of dioxides, REO$_2$, and sesquioxides, RE$_2$O$_3$, for the rare earths, RE=Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy and Ho. The valencies of the rare earth ions are determined from total energy minimization. We find Ce, Pr, Tb in their dioxides to have the tetravalent configuration, while for all the sesquioxides the trivalent groundstate configuration is found to be the most favourable. The calculated lattice constants for these valency configurations are in good agreement with experiment. Total energy considerations are exploited to show the link between oxidation and $f$-electron delocalization, and explain why, among the dioxides, only the CeO$_2$, PrO$_2$, and TbO$_2$ exist in nature. Tetravalent NdO$_2$ is predicted to exist as a metastable phase - unstable towards the formation of hexagonal Nd$_2$O$_3$.

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